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Displaying similar documents to “On holomorphic functions with certain extremal properties of its absolute values.”

Analytic functions

Stanisław Saks, Antoni Zygmund

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CONTENTS PREFACE................................... III PREFACE TO THE ENGLISH EDITION................................... VII INTRODUCTION. THEORY OF SETS § 1. Fundamental definitions................................... 1 § 2. Denumerable sets................................... 3 § 3. Abstract topological space................................... 4 § 4. Closed and open sets................................... 6 § 5. Connected sets................................... 11 § 6. Compact sets......................................

On unique range sets of meromorphic functions in m

Xiao-Tian Bai, Qi Han (2007)

Archivum Mathematicum

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By considering a question proposed by F. Gross concerning unique range sets of entire functions in , we study the unicity of meromorphic functions in m that share three distinct finite sets CM and obtain some results which reduce 5 c 3 ( ( m ) ) 9 to 5 c 3 ( ( m ) ) 6 .